#include <algorithm>
#include <cstdio>
#include <iostream>
using namespace std;
constexpr unsigned maxn = 1 << 17;
namespace {
template <unsigned niv>
unsigned buf[niv];
template <unsigned niv = maxn>
void build() {
if constexpr (niv > 1) {
#pragma GCC unroll 128
for (unsigned i = 0; i < niv; i += 2)
buf<niv / 2>[i / 2] = max(buf<niv>[i], buf<niv>[i + 1]);
build<niv / 2>();
}
}
namespace for_rebuild {
int i, j;
template <unsigned niv>
void rebuildj();
template <unsigned niv>
void rebuildi() {
if constexpr (niv > 1) {
buf<niv / 2>[j] = max(buf<niv>[i], buf<niv>[i ^ 1]);
i = j / 2;
rebuildj<niv / 2>();
}
}
template <unsigned niv>
void rebuildj() {
if constexpr (niv > 1) {
buf<niv / 2>[i] = max(buf<niv>[j], buf<niv>[j ^ 1]);
j = i / 2;
rebuildi<niv / 2>();
}
}
} // namespace for_rebuild
void update(unsigned i, unsigned x) {
buf<maxn>[i] = x;
for_rebuild::i = i;
for_rebuild::j = i / 2;
for_rebuild::rebuildi<maxn>();
}
namespace for_query {
unsigned st, dr, r;
template <unsigned niv = maxn>
void _query() {
if constexpr (niv >= 1) {
if (st == dr) return;
if (st % 2) r = max(r, buf<niv>[st++]);
if (dr % 2) r = max(r, buf<niv>[--dr]);
st /= 2;
dr /= 2;
_query<niv / 2>();
}
}
} // namespace for_query
unsigned query(unsigned a, unsigned b) {
for_query::st = a, for_query::dr = b, for_query::r = 0;
for_query::_query();
return for_query::r;
}
constexpr int maxbuf = 2e6 + 100;
char rdbuf[maxbuf] = {}, *ip = rdbuf;
char getch() {
if (*ip < '0') {
++ip;
if (*ip < '0') ++ip;
}
return *ip++;
}
unsigned get_int() {
unsigned x = 0;
if (*ip < '0') {
++ip;
if (*ip < '0') ++ip;
}
for (; *ip >= '0'; ++ip) x = 10 * x + *ip - '0';
return x;
}
// Thanks to:
// https://stackoverflow.com/questions/25892665/performance-of-log10-function-returning-an-int
unsigned digits(unsigned x) {
static constexpr unsigned char guess[33] = {
0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4,
5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9};
static constexpr unsigned int tenToThe[] = {
1, 10, 100, 1000, 10000,
100000, 1000000, 10000000, 100000000, 1000000000,
};
unsigned int digits = guess[32 - __builtin_clz(x)];
return digits + (x >= tenToThe[digits]);
}
char wrbuf[maxbuf], *op = wrbuf;
void write_int(int x) {
if (x < 10) {
*op++ = '0' + x;
*op++ = '\n';
} else {
char *p = (op += digits(x));
for (int y; x;) {
y = x / 10;
*--p = x - 10 * y + '0';
if (y) {
x = y / 10;
*--p = y - 10 * x + '0';
} else
break;
}
*op++ = '\n';
}
}
}; // namespace
unsigned n, q, a, b;
char t;
int main() {
fread(rdbuf, sizeof(char), maxbuf, fopen("arbint.in", "r"));
n = get_int(), q = get_int();
for (unsigned i = 0; i < n; ++i) buf<maxn>[i] = get_int();
build();
while (q--) {
t = getch(), a = get_int(), b = get_int();
if (t == '1')
update(a - 1, b);
else
write_int(query(a - 1, b));
}
fwrite(wrbuf, sizeof(char), op - wrbuf, fopen("arbint.out", "w"));
}